%0 Journal Article %A Quesada, Carlos %A Rodríguez Bernal, Aníbal %T Smoothing and perturbation for some fourth order linear parabolic equations in R-N %D 2014 %@ 0022-247X %U https://hdl.handle.net/20.500.14352/33470 %X We solve some fourth order parabolic equations, obtained from perturbations of the parabolic bi-Laplacian equation, with special focus on smoothing estimates. Several classes of initial data are considered including data in Lebesgue and Bessel-Lebesgue spaces. Robustness and convergence with respect to the perturbation are also obtained. Also, initial data in large uniform Bessel-Lebesgue spaces are considered as well as equations with higher order powers of the Laplacian. %~